Change pack
Capstone
Jun 12 - 18
25 questions
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1.
Number
Simplify: 3√160
Answer: 12√10
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2.
Algebra
Complete the square: 3x² - 12x - 12
Answer: 3(x - 2)² - 24
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3.
Geometry
Find area of triangle: a = 25cm, b = 13cm, angle = 79°. Give your answer to 2 decimal places
Answer: 159.51cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:42:30
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5.
Statistics
Find the mean, median and range of: 33, 38, 55, 58, 49, 89, 100, 38, 94. Give your answer to 2 decimal places
Answer: Mean = 61.56, Median = 55, Range = 67
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: x² - 9x - 7
Answer: (x - 9⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 13cm, angle = 75°. Give your answer to 2 decimal places
Answer: 163.24cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 9:63:28
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5.
Statistics
Find the mean, median and range of: 69, 36, 87, 83, 80, 71, 52, 21, 43. Give your answer to 2 decimal places
Answer: Mean = 60.22, Median = 69, Range = 66
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² - 11x - 1
Answer: (x - 11⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 18cm, angle = 42°. Give your answer to 2 decimal places
Answer: 168.62cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 12:10:35
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5.
Statistics
Find the mean, median and range of: 96, 21, 58, 36, 95, 69, 26. Give your answer to 2 decimal places
Answer: Mean = 57.29, Median = 58, Range = 75
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1.
Number
Simplify: 4√20
Answer: 8√5
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2.
Algebra
Complete the square: 4x² - 16x + 3
Answer: 4(x - 2)² - 13
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3.
Geometry
Find area of triangle: a = 24cm, b = 14cm, angle = 65°. Give your answer to 2 decimal places
Answer: 152.26cm²
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4.
Ratio
a:b is 5:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:15:18
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5.
Statistics
Find the mean, median and range of: 93, 89, 31, 74, 16, 87, 21. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 74, Range = 77
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 2x² + 4x - 7
Answer: 2(x + 1)² - 9
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3.
Geometry
Find area of triangle: a = 22cm, b = 30cm, angle = 78°. Give your answer to 2 decimal places
Answer: 322.79cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:10:12
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5.
Statistics
Find the mean, median and range of: 37, 72, 70, 21, 74, 66, 13. Give your answer to 2 decimal places
Answer: Mean = 50.43, Median = 66, Range = 61